On generalized hypergeometric equations and mirror maps
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Abstract:
This paper deals with generalized hypergeometric differential equations of order $n \geq 3$ having maximal unipotent monodromy at $0$. We show that among these equations those leading to mirror maps with integral Taylor coefficients at $0$ (up to simple rescaling) have special parameters, namely $R$-partitioned parameters. This result yields the classification of all generalized hypergeometric differential equations of order $n \geq 3$ having maximal unipotent monodromy at $0$ such that the associated mirror map has the above integrality property.References
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Additional Information
- Julien Roques
- Affiliation: Université Grenoble Alpes, Institut Fourier, CNRS UMR 5582, 100 rue des Maths, BP 74, 38402 St. Martin d’Hères, France
- MR Author ID: 803167
- Email: Julien.Roques@ujf-grenoble.fr
- Received by editor(s): June 22, 2012
- Received by editor(s) in revised form: October 2, 2012
- Published electronically: May 28, 2014
- Communicated by: Matthew A. Papanikolas
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3153-3167
- MSC (2010): Primary 33C20
- DOI: https://doi.org/10.1090/S0002-9939-2014-12161-7
- MathSciNet review: 3223372